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2007, Volume 2, Issue 4: 661-694. Doi: 10.3934/nhm.2007.2.661
This issue Previous Article Spatial instabilities and size limitations of flocks Next Article Null controllability of degenerate parabolic operators with drift

A continuum-discrete model for supply chains dynamics

  • 1.

    Istituto per le Applicazioni del Calcolo "M. Picone", IAC-CNR Viale del Policlinico, 137, 00161, Rome

  • 2.

    Dipartimento di Ingegneria dell’Informazione e Matematica Applicata, Università degli Studi di Salerno, Via Ponte don Melillo, 1, Fisciano (SA) 84084

  • 3.

    Dipartimento di Ingegneria dell'Informazione e Matematica Applicata, University of Salerno, Via Ponte Don Melillo, 84084 - Fiscano (SA)

  • 4.

    Istituto per le Applicazioni del Calcolo "M. Picone", IAC-CNR, Viale del Policlinico 137, 00161 Roma

Received:  March 31, 2007
Revised:  July 31, 2007
Published:  November 2007
Abstract Related Papers Cited by
    Abstract
  • This paper is focused on continuum-discrete models for supply chains. In particular, we consider the model introduced in [10], where a system of conservation laws describe the evolution of the supply chain status on sub-chains, while at some nodes solutions are determined by Riemann solvers. Fixing the rule of flux maximization, two new Riemann Solvers are defined. We study the equilibria of the resulting dynamics, moreover some numerical experiments on sample supply chains are reported. We provide also a comparison, both of equilibria and experiments, with the model of [15].
    Mathematics Subject Classification: 90B10, 65M06, 65N05.

    Citation:
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